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Found 1,585 Documents (Results 1–100)

Generalization of nonlocally related partial differential equation systems: unknown symmetric properties and analytical solutions. arXiv:2401.14795

Preprint, arXiv:2401.14795 [math-ph] (2024).
MSC:  76M60 22E60 17B81
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Lie group geometry. Invariant metrics and dynamical systems, dual algebra, and their applications in the group analysis of a one-dimensional kinetic equation. (English. Russian original) Zbl 1530.70016

Theor. Math. Phys. 217, No. 1, 1528-1540 (2023); translation from Teor. Mat. Fiz. 217, No. 1, 127-141 (2023).
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On the group classification of ideal gas-dynamic relaxing media. (English. Russian original) Zbl 07739092

Proc. Steklov Inst. Math. 321, Suppl. 1, S127-S137 (2023); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 29, No. 2, 260-270 (2023).
MSC:  76M60 76N15
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Differential invariants of inviscid flows in pipes. (English) Zbl 07738945

Krasil’shchik, I. S. (ed.) et al., The diverse world of PDEs. Geometry and mathematical physics. Alexandre Vinogradov memorial conference. Diffieties, cohomological physics, and other animals, Independent University of Moscow and Moscow State University, Moscow, Russia, December 13–17, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 788, 101-110 (2023).
MSC:  76M60 76B10
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Lie symmetry analysis, optimal system and exact solutions for variable-coefficients \((2 + 1)\)-dimensional dissipative long-wave system. (English) Zbl 1498.35450

J. Math. Anal. Appl. 518, No. 1, Article ID 126671, 18 p. (2023); retraction note ibid. 526, No. 2, Article ID 127423, 1 p. (2023).
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Lie Algebra Classification, Conservation Laws and Invariant Solutions for a Variant of the Levinson-Smith Equation. arXiv:2310.12438

Preprint, arXiv:2310.12438 [math.CA] (2023).
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Determination of stable branches of relative equilibria of the \(N\)-vortex problem on the sphere. arXiv:2309.04320

Preprint, arXiv:2309.04320 [math.DS] (2023).
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Soliton solutions of dual-mode Kawahara equation via Lie symmetry analysis. (English) Zbl 07833130

Saha Ray, Santanu (ed.) et al., Applied analysis, computation and mathematical modelling in engineering. Select proceedings of AACMME 2021, Rourkela, India, February 24–26, 2021. Singapore: Springer. Lect. Notes Electr. Eng. 897, 189-202 (2022).
MSC:  35-XX 65-XX
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Lie reductions and exact solutions of generalized Kawahara equations. (English) Zbl 07819673

Dobrev, Vladimir (ed.), Lie theory and its applications in physics. Selected papers based on the presentations at the workshop, Sofia, Bulgaria, online, June 2021. Singapore: Springer. Springer Proc. Math. Stat. 396, 333-338 (2022).
MSC:  35B06 35G25
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